A rectangle garden has a width that is 8 feet less than twice the length. Find the dimensions if the perimeter is 20 feet
1 answer:
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Answer:
For the first question and
For the second question
Step-by-step explanation:
Given:
1.
x - 3y = 7
3x + 3y = 9
2.
8x+ 3y = 1
4x + 2y = 0
Elimination method :
In the elimination method we need to make the coefficient of x or the coefficient of y same in both the equation so by adding or subtracting we can eliminate the x term or the y term.
Then substitute that values which you will get on eliminating in any equation you will get the corresponding value.
For the first question, the y coefficient is same hence by adding both the equation we can eliminate 3y term. so on solving we get
Now substitute X equal to 4 in equation x -3y = 7 we get
This way we have x is equal to 4 and y is equal to -1 for question number 1.
For the second question, we will make X coefficient same in the second equation that is multiplying by 2 to the equation 4x + 2y = 0 then we get
Now the coefficient of x term become same now we will subtract the two equations that is 8x + 3y = 1 and 8x + 4y =0 we get
Now substitute y equal to -1 in equation 8x +3y = 1 we get
This way we have x is equal to 0.5 and y is equal to -1 for question number 2.
